Which of the plots shown in the figure repres | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The velocity of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by the formula:$v_n = \frac{2 \pi K Z e^2}{n h}$From this exp

Vedclass · Accepted Answer

$B$

Vedclass · Answer

(B) The velocity of an electron in the $n^{	ext{th}}$ orbit of a hydrogen atom is given by the formula:$v_n = \frac{2 \pi K Z e^2}{n h}$From this expression,we can see that the velocity is inversely proportional to the principal quantum number $n$:$v_n \propto \frac{1}{n}$This relationship represents a rectangular hyperbola where the velocity decreases as the principal quantum number $n$ increases.Looking at the provided figure,plot $B$ represents a curve where the value of $v$ decreases as $n$ increases,which matches the inverse relationship $v \propto 1/n$. Therefore,plot $B$ is the correct representation.

Which of the plots shown in the figure represents speed $(v)$ of the electron in a hydrogen atom as a function of the principal quantum number $(n)$?

Similar Questions

The magnetic moment of an orbital electron in the first orbit of an $\text{H}$-atom is $\mu_{B}$. What is the magnetic moment of that electron in the second orbit?

An orbital electron in the ground state of hydrogen has a magnetic moment $\mu_1$. This orbital electron is excited to the $3^{rd}$ excited state by some energy transfer to the hydrogen atom. If the new magnetic moment of the electron is $\mu_2$,then:

If the energy of the $n^{th}$ orbit in a hydrogen atom is $E_n$,what will be the energy of the $n^{th}$ orbit in a helium ion $(He^+)$?

The frequency of the $1^{st}$ line of the Balmer series in the ${H_2}$ atom is ${\nu _0}$. What is the frequency of the corresponding line emitted by a singly ionized ${He^+}$ atom?

In any Bohr orbit of a hydrogen atom,the ratio of $K.E.$ to $P.E.$ of a revolving electron at a distance $r$ from the nucleus is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module